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(a) Use integration by parts to find ∫ x sin(3x) dx

The question asks for integration by parts. Therefore we need to differentiate one variable and integrate the other. First we need to decide which variable is going to be which. Algebra should always be diff...
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Answered by George A. • Maths tutor
8939 Views

What's the gradient of the curve y=x^3+2x^2 at the point where x=2?

Gradient is change in y divided change in x.As the change shrinks to effectively nothing (as we want to gradient at a point, not between points), we use dy/dx (the derivative of y with respect to x), to work...
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Answered by Zachary I. • Maths tutor
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Solve the simultaneous equations: y = x + 6, x^2 + 2y = 9

y = x + 3x 2 + 2y = 9We want to make the squared equation have either only x's or only y's, so we substitute y = x + 3 into the equation:x 2 + 2(x + 3) = 9We need to take out the brackets, and simplify this ...
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Answered by Hayley H. • Maths tutor
3855 Views

How do I write a personal statement for Oxbridge?

Oxbridge personal statements differ from many other universities, in that they are looking for a more academic personal statement. Whilst other universities might be interested in your extra-curricular activ...
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2642 Views

When should I use the subjunctive?

In Spanish, there are 3 modes: indicative, subjunctive and imperative. We are going to be looking the first two of these. The indicative is probably the mode that you are most familiar with, and is used for ...
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Answered by Kyra L. • Spanish tutor
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